Question

What is the Cartesian form of `(2,(-pi )/3)`?

Answer 1

`(1, -sqrt(3))`

Explanation:

Recall the conversion formulas to move from polar coordinates to cartesian coordinates:

`x = r*cos(theta)`
`y = r*sin(theta)`

Thus:

`x = 2*cos((-pi)/3)=2*(1/2)=1`
`y = 2*sin((-pi)/3)=2*(-sqrt(3)/2)=-sqrt(3)`